CN109349791B - Topological optimization triangular round table and design method thereof - Google Patents
Topological optimization triangular round table and design method thereof Download PDFInfo
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- 238000005457 optimization Methods 0.000 title claims abstract description 67
- 238000000034 method Methods 0.000 title claims abstract description 48
- 238000013461 design Methods 0.000 title claims abstract description 38
- 238000003698 laser cutting Methods 0.000 claims abstract description 12
- 238000004519 manufacturing process Methods 0.000 claims abstract description 12
- 238000005516 engineering process Methods 0.000 claims abstract description 9
- 239000003822 epoxy resin Substances 0.000 claims abstract description 8
- 239000003292 glue Substances 0.000 claims abstract description 8
- 229920000647 polyepoxide Polymers 0.000 claims abstract description 8
- 230000008569 process Effects 0.000 claims abstract description 3
- 230000035945 sensitivity Effects 0.000 claims description 23
- 230000000750 progressive effect Effects 0.000 claims description 10
- 239000011521 glass Substances 0.000 claims description 7
- 238000001914 filtration Methods 0.000 claims description 6
- 238000004458 analytical method Methods 0.000 claims description 5
- 230000002457 bidirectional effect Effects 0.000 claims description 5
- 230000007547 defect Effects 0.000 claims description 4
- 230000007246 mechanism Effects 0.000 claims description 3
- 238000005498 polishing Methods 0.000 claims description 3
- 238000012545 processing Methods 0.000 claims description 3
- 238000012935 Averaging Methods 0.000 claims description 2
- 238000006073 displacement reaction Methods 0.000 claims description 2
- 238000002474 experimental method Methods 0.000 claims description 2
- 238000012804 iterative process Methods 0.000 claims description 2
- 210000001503 joint Anatomy 0.000 claims description 2
- 239000011159 matrix material Substances 0.000 claims description 2
- 238000012360 testing method Methods 0.000 claims description 2
- 238000004364 calculation method Methods 0.000 claims 1
- 239000000463 material Substances 0.000 abstract description 8
- 239000005341 toughened glass Substances 0.000 abstract 1
- 238000010146 3D printing Methods 0.000 description 1
- 230000004075 alteration Effects 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000009499 grossing Methods 0.000 description 1
- 238000000265 homogenisation Methods 0.000 description 1
- 238000010147 laser engraving Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 238000004088 simulation Methods 0.000 description 1
- 239000007787 solid Substances 0.000 description 1
- 230000003068 static effect Effects 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
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- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47B—TABLES; DESKS; OFFICE FURNITURE; CABINETS; DRAWERS; GENERAL DETAILS OF FURNITURE
- A47B7/00—Tables of rigid construction
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- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47B—TABLES; DESKS; OFFICE FURNITURE; CABINETS; DRAWERS; GENERAL DETAILS OF FURNITURE
- A47B13/00—Details of tables or desks
- A47B13/02—Underframes
-
- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47B—TABLES; DESKS; OFFICE FURNITURE; CABINETS; DRAWERS; GENERAL DETAILS OF FURNITURE
- A47B13/00—Details of tables or desks
- A47B13/08—Table tops; Rims therefor
- A47B13/12—Transparent tops, e.g. with lighting means under the table top
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
-
- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47B—TABLES; DESKS; OFFICE FURNITURE; CABINETS; DRAWERS; GENERAL DETAILS OF FURNITURE
- A47B2200/00—General construction of tables or desks
- A47B2200/0001—Tops
-
- A—HUMAN NECESSITIES
- A47—FURNITURE; DOMESTIC ARTICLES OR APPLIANCES; COFFEE MILLS; SPICE MILLS; SUCTION CLEANERS IN GENERAL
- A47B—TABLES; DESKS; OFFICE FURNITURE; CABINETS; DRAWERS; GENERAL DETAILS OF FURNITURE
- A47B2200/00—General construction of tables or desks
- A47B2200/0011—Underframes
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- Engineering & Computer Science (AREA)
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- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Forms Removed On Construction Sites Or Auxiliary Members Thereof (AREA)
- Micromachines (AREA)
Abstract
The invention relates to a topology optimization triangular round table and a design method thereof, which utilize topology optimization technology to remove low-efficiency materials in the design, so that the table has portability and the bearing capacity of the table is kept unchanged. The table comprises a round toughened glass table top and a supporting plate with three surfaces topologically optimized. The method comprises the following steps of: firstly, establishing a proper round table model according to human engineering and determining basic dimensions; and then, under the condition of considering loads in all directions, carrying out structural optimization on the round table model by utilizing optimization software, and setting corresponding target parameters. Finally, the designed table part is manufactured by adopting a laser cutting technology, is embedded and is fixedly connected by using epoxy resin AB glue. The invention adopts common materials and manufacturing process, so the process is simple, the manufacturing cost is low, the materials are saved, and the product is more attractive.
Description
Technical Field
The invention relates to a triangular round table designed by a topology optimization technology, and belongs to the field of innovative structures.
Background
Furniture is an object to which art is applied, intended for mobile and permanent home upholstery. With the increasing level of living, the aesthetic aspects of furniture design, in addition to the practical functions, are becoming increasingly important. Topology optimization provides a practical method for lightweight design by automatically removing inefficient materials in the design field. In addition, it can also give the aesthetic aspect of the modeling design a sense of inspiration. Thus, topology optimization can be applied not only to industrial design but also to building design, as well as to home design.
Since 1988, some popular structural design topology optimization methods have been developed over the last 30 years. Some of the most popular methods are the homogenization method, the isotropic solid microstructure density method, the progressive structure optimization and the bi-directional progressive structure optimization. The progressive structural optimization method was first proposed by Xie Yimin and Steven, and is based on a simple algorithm to gradually delete inefficient materials in the structure, so as to "evolve" the structure into an optimal form. The progressive structural optimization method can conveniently solve various optimization problems such as static/dynamic and structural stability by being connected with existing commercial finite element analysis software. In the subsequently proposed bi-directional incremental structural optimization method, material can be not only deleted, but also added to the most needed part of the structure. The progressive structural optimization method and the bidirectional progressive structural optimization method have been used for a plurality of actual engineering designs due to their simple and effective algorithms.
However, the resulting organically shaped structures are often difficult to manufacture due to processing limitations, which limit the spread of such techniques. In recent years, commercial advanced manufacturing methods represented by 3D printing and laser cutting bring new opportunities for topology optimization methods, and the new technology can better manufacture complex three-dimensional materials and structures. While industry is increasingly stringent in terms of design, topology optimization is showing its advantages in finding shapes for innovative structures that cannot be made by traditional manufacturing methods. The method breaks through the limitation of the traditional manufacturing method on the manufacturing of the complex structure, and provides new possibility for the large-scale application of the topology optimization in the multidisciplinary structural design.
Inspired by the engineering, the research adopts a digital workflow of parametric modeling, virtual prototype, structural simulation, custom optimization and laser engraving, and refers to a self-defined optimization method based on cross section optimization and structural node Laplacian smoothing to perform structural optimization and manufacturing of the desk. The present study may provide a reference for optimizing creative structures in a furniture environment using advanced manufacturing techniques.
Disclosure of Invention
Aiming at the defects of the prior art, the invention combines the structural topological optimization and the laser cutting technology, and provides the topological optimization triangular round table and the design method thereof.
The technical scheme adopted by the invention is as follows: a topology optimization triangular round table comprises a round glass panel serving as a table top and three supports which are subjected to topology optimization design;
the topology optimization round table is formed by embedding three different support plates into a triangle, and is fixedly connected by adopting epoxy resin AB glue, and the upper part of the topology optimization round table is formed by connecting a support part with a round glass panel by adopting the epoxy resin AB glue through a rubber pad;
height H of the support plate 1 The method meets the following conditions: 700mm<H 1 <760mm；
The diameter D and the thickness H of the round glass panel 2 The method meets the following conditions: 750mm<D<900mm,5mm<H 2 <8mm；
The relation of the width L of the supporting plate is as follows: l (L) 1 ＝L 2 ＝L 3 The method comprises the steps of carrying out a first treatment on the surface of the Width L of the support plate 1 The method meets the following conditions: 42mm<L 1 <56mm；
Width L of the supporting plate 1 The relationship with thickness d satisfies: 18<L 2 /d<50。
Preferably, the height H1 of the support plate is controlled to be within a range of 280 to 320 mm.
The design method of the topology optimization triangular round table comprises the following steps:
1) The shape and size of the components, including the shape and size of the table top, support, are determined according to the purpose of the table, an appropriate initial plan is constructed, and a basic model is determined.
2) Carrying out structural optimization on the built initial model by adopting a topology optimization algorithm, wherein the analysis process is as follows:
firstly, the volume is constrained according to a minimization principle, and the following functions are constructed to ensure the overall balance of the structure:
F＝KU (3)
wherein the objective function is compliance C; the vector of the relative densities of the elements is X, and is thus a binary variable vector; x is x e Is a design variable of e, and the actual value is 1 (existing) or the minimum value of specified x; the total number of elements is N; FT and UT are transposed matrices of the overall stress vector F and the displacement vector U respectively; the overall rigidity matrix is K; the total volume of the structure is V, and the volume of a single element is V e The method comprises the steps of carrying out a first treatment on the surface of the The value of the imposed constraint volume is V * The method comprises the steps of carrying out a first treatment on the surface of the The present design sets the volume fraction constraint to 40%.
The invention designs the optimal design domain into three rectangles which are spliced into a triangular three-dimensional model, and the triangular compact structure of the initial design domain is designed for better resisting torsional load. By applying a vertical load and combining the torsional load with the vertical load under different load conditions.
And optimizing each element by using a bidirectional progressive structural optimization method according to the set optimization design domain and the load. Element sensitivity alpha for variation of each element design variable e Representing the result of the differential objective function C.
The original sensitivity processing is to determine the minimum mesh size for optimal analysis and thus the filter radius, for which simplified element sensitivity is usedFiltration protocol.
w(r ej )＝max(0，r min -r ej ) (7)
r ej For the center distance of elements e and j, w is a weighted function of the average raw sensitivity, r min For the minimum filter radius, it is noted that the penalty factor η j Independent of the sensitivity value, it can be calculated in advance. The present solution calculates with a minimum filter radius of 2.5 times the mesh size. The filtering scheme is to apply a filter in each iteration.
To obtain a better solution, the element sensitivity in the iterative process of the bidirectional progressive optimization method is improvedFurther averaging, an average sensitivity is obtained>By simply putting the sensitivity of the current iteration +.>Sensitivity to previous iteration->And taking an average value.
Where k is the current iteration
V k+1 ＝V k (1±ert) (9)
Starting from the design, the structure volume is iteratively reduced by switching element states. In an iteration, the target volume V of the next iteration k+1 Based on the current V k And an evolution ratio ert. Then, the element update is based on the optimal criteria, forIn minimizing the problem, the above formula can be simply programmed. And (3) designing an updating scheme according to the target volume and the sensitivity, namely determining a threshold value, and filtering elements with the sensitivity lower than the target volume and the target sensitivity to achieve the final target volume. After reaching the target volume, a support plate model of the topological optimization round table needed by us is generated. And (3) testing whether the stress and the strain are acceptable or not by carrying out experiments on the optimized structure, and selecting the optimal optimization result.
3) Finally, the initial contour of the designed table part is manufactured by adopting a laser cutting technology, a self-locking mechanism is used as a table connecting scheme, a groove on the connecting edge of the initial contour is subjected to laser cutting, and finally scarf joint is carried out, and the connection and the fixation are carried out by using epoxy resin AB glue. And the polishing method is adopted to eliminate appearance defects caused by adhesion and laser cutting.
The beneficial effects are that: the invention combines the topology optimization technology and the furniture field once, also combines the building aesthetic property and the practicability of the furniture design once, improves the structure utilization efficiency, ensures the beautiful style of the round table, greatly saves materials and reduces the manufacturing cost.
Drawings
FIG. 1 is a schematic diagram of a topology optimized triangular round table of the present invention;
fig. 2 is a top view of fig. 1.
Detailed Description
The invention is further described below with reference to specific embodiments and figures;
as shown in fig. 1 and 2, a topology optimization assembly round table comprises a table top 1, a supporting plate 2 and a supporting plate 3; the topology optimization method is used for carrying out structural optimization and stability analysis in combination with commercial software.
The topology optimization round table supporting plate optimization design domain is a triangular three-dimensional model formed by mutually splicing three rectangular plate surfaces.
The topological round table applies vertical loads in the design domain and combines torsional loads with vertical loads under different load conditions.
The topology optimization round table topology structure is calculated with a minimum filter radius which is 2.5 times of the grid size during optimization.
The volume constraint fraction of the topological optimization round table support panel is 35%.
The height H1 of the topology optimization round table meets the following conditions: 700mm<H 1 <760mm, height H 1 The error is controlled in the range of 280 to 320 mm.
The topology optimization round table top glass diameter D and thickness H 2 Meets 750mm<D<900mm,5mm<H 2 <8mm。
The relation between the width L and the thickness d of the topological optimization round table supporting plate meets the following conditions: l (L) 1 ＝L 2 ＝L 3 。
Width L of the topology optimization round supporting plate 1 The method meets the following conditions: 420mm<L 2 <600mm。
The width-to-thickness ratio of the topological optimization round support plate meets the following conditions: 18<L 2 /d<50。
The round table design detailed steps of the optimized assembly adopting the topological structure are as follows:
1. determining the shape and the size of each component of the round table to construct a basic model:
the designed round table is determined according to the application, such as the diameter D of the round table top, the supporting plate (width L 1 、L 2 Thickness d and height H 1 ) The method comprises the steps of carrying out a first treatment on the surface of the And constructing a proper initial scheme and determining a basic model.
2. Adopting the existing topology optimization software to perform structural optimization according to given optimization settings and boundary conditions, and generating different shapes and results; and analyzing the obtained optimized structure, checking whether the stress and strain are acceptable, and selecting the best optimized result.
3. Finally, the initial outline of the designed table part is manufactured by adopting a laser cutting technology, a self-locking mechanism is used as a table connecting scheme, a groove at the connecting edge of the initial outline is subjected to laser cutting, finally, embedding is carried out, epoxy resin AB glue is used for connecting and fixing, and a polishing method is adopted to eliminate appearance defects caused by bonding and laser cutting.
The embodiments of the present invention have been described in detail above with reference to the accompanying drawings, but the present invention is not limited to the described embodiments. It will be apparent to those skilled in the art that various changes, modifications, substitutions and alterations can be made to these embodiments without departing from the spirit and scope of the invention.
Claims (1)
1. A design method of a topological optimization triangular round table is characterized by comprising the following steps of:
the topology optimization triangular round table comprises a round glass panel serving as a table top and three support plates which are subjected to topology optimization design; the topology optimization round table is formed by embedding three different support plates into a triangle, and is fixedly connected by adopting epoxy resin AB glue, and the upper part of the topology optimization round table is formed by connecting a support part with a round glass panel by adopting the epoxy resin AB glue through a rubber pad; height H of the support plate 1 The method meets the following conditions: 700mm<H 1 <760mm; the diameter D and the thickness H of the round glass panel 2 The method meets the following conditions: 750mm<D<900mm，5mm<H 2 <8mm; the relation of the width L of the supporting plate is as follows:
L 1 ＝L 2 ＝L 3 the method comprises the steps of carrying out a first treatment on the surface of the Width L of the support plate 1 The method meets the following conditions: 42mm<L 1 <56mm; width L of the supporting plate 1 The relationship with thickness d satisfies: 18<L 2 /d<50；
Height H of the support plate 1 Error control is in the range of 280 to 320 mm;
the design method of the topology optimization triangular round table comprises the following steps:
1) Determining the shape and the size of the components according to the purpose of the table, including the shape and the size of the table top and the supporting plate, constructing a proper initial scheme, and determining a basic model;
2) The built basic model is subjected to structural optimization by adopting a topology optimization algorithm, and the analysis process is as follows:
firstly, the volume is constrained according to a minimization principle, and the following functions are constructed to ensure the overall balance of the structure:
F＝KU(3)
wherein the objective function is compliance C; the vector of the relative densities of the elements is X, and is thus a binary variable vector; x is x e Is a design variable of e, and the actual value is 1 or the minimum value of the specified x; the total number of elements is N; f (F) T And U T The transposed matrices of the integral stress vector F and the displacement vector U are respectively adopted; the overall rigidity matrix is K; the total volume of the structure is V, and the volume of a single element is V e The method comprises the steps of carrying out a first treatment on the surface of the The value of the imposed constraint volume is V * The method comprises the steps of carrying out a first treatment on the surface of the Setting the volume fraction constraint to 40%;
setting a design domain and distributing loads, designing three rectangular three-dimensional models which are mutually spliced into a triangle, and combining torsional loads with vertical loads under different load conditions by applying the vertical loads;
optimizing each element by a bidirectional progressive structural optimization method according to the set optimization design domain and the load; element sensitivity alpha for variation of each element design variable e Representing, derived from the differential objective function C;
the original sensitivity processing is to determine the minimum mesh size for optimal analysis and thus the filter radius, for which simplified element sensitivity is usedA filtration scheme;
w(r ej )＝max(0，r min -r ej ) (7)
r ej for the center distance of elements e and j, w is a weighted function of the average raw sensitivity, r min For the minimum filter radius, penalty coefficient η j Independent of the sensitivity value, the calculation is performed with a minimum filter radius of 2.5 times the mesh size; the filtering scheme is to apply a filter in each iteration;
to obtain a better solution, the element sensitivity in the iterative process of the bidirectional progressive optimization method is improvedFurther averaging, an average sensitivity is obtained>By sensitivity of the current iteration +.>Sensitivity to previous iteration->Taking an average value;
where k is the current iteration
V k+1 ＝V k (1±ert)(9)
Iteratively reducing the structural volume by switching element states, starting from design; in an iteration, the target volume V of the next iteration k+1 Based on the current V k And an evolution ratio ert; then, the element update is based on the optimal criteria, and for minimizing problems, the above formula is programmed; determining a threshold value, filtering elements with sensitivity lower than the target sensitivity, and achieving the final target volume; after reaching the target volume, a support plate model of the topological optimization round table needed by the user is generated; testing whether the stress and strain are acceptable or not by carrying out experiments on the optimized structure, and selecting the optimal optimization result;
3) Finally, manufacturing an initial contour of the designed table part by adopting a laser cutting technology, taking a self-locking mechanism as a table connection scheme, performing laser cutting on a groove of a connecting edge of the initial contour, and finally performing scarf joint and connecting and fixing by using epoxy resin AB glue; and the polishing method is adopted to eliminate appearance defects caused by adhesion and laser cutting.
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Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1047200A (en) * | 1989-05-16 | 1990-11-28 | M·卡门斯坦公司 | The storage rack of cylindrical vessel |
| CN103020358A (en) * | 2012-12-13 | 2013-04-03 | 天津大学 | Construction method of adaptive dynamic design platform aiming at mechanical device |
| CN204483413U (en) * | 2015-02-12 | 2015-07-22 | 浙江机电职业技术学院 | A kind of portable two-purpose table stool |
| CN106175079A (en) * | 2016-08-01 | 2016-12-07 | 李俊凯 | A kind of optimizing design scheme of flat plate folding table |
| CN207837091U (en) * | 2017-09-30 | 2018-09-11 | 陈浩 | Desk |
| CN108710736A (en) * | 2018-05-10 | 2018-10-26 | 北京航空航天大学 | A kind of macro micro- integral structure Topology Optimization Method considering stress constraint |
| CN209573743U (en) * | 2018-12-24 | 2019-11-05 | 谢亿民工程科技南京有限公司 | A kind of topological optimization triangle round table |
-
2018
- 2018-12-24 CN CN201811583059.2A patent/CN109349791B/en active Active
Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN1047200A (en) * | 1989-05-16 | 1990-11-28 | M·卡门斯坦公司 | The storage rack of cylindrical vessel |
| CN103020358A (en) * | 2012-12-13 | 2013-04-03 | 天津大学 | Construction method of adaptive dynamic design platform aiming at mechanical device |
| CN204483413U (en) * | 2015-02-12 | 2015-07-22 | 浙江机电职业技术学院 | A kind of portable two-purpose table stool |
| CN106175079A (en) * | 2016-08-01 | 2016-12-07 | 李俊凯 | A kind of optimizing design scheme of flat plate folding table |
| CN207837091U (en) * | 2017-09-30 | 2018-09-11 | 陈浩 | Desk |
| CN108710736A (en) * | 2018-05-10 | 2018-10-26 | 北京航空航天大学 | A kind of macro micro- integral structure Topology Optimization Method considering stress constraint |
| CN209573743U (en) * | 2018-12-24 | 2019-11-05 | 谢亿民工程科技南京有限公司 | A kind of topological optimization triangle round table |
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